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Shock wave reflection from a rigid wall has been thoroughly studied in the Newtonian limit, simplifying the problem by analyzing it in a steady-state frame, $S'$, where the point $P$ of the shock's intersection with the wall is at rest.…

High Energy Astrophysical Phenomena · Physics 2023-09-25 Jonathan Granot , Michael Rabinovich

When a plane shock hits a wedge head on, it experiences a reflection-diffraction process and then a self-similar reflected shock moves outward as the original shock moves forward in time. Experimental, computational, and asymptotic analysis…

Analysis of PDEs · Mathematics 2007-08-21 Gui-Qiang Chen , Mikhail Feldman

We present in this paper both a linear study and numerical relativistic MHD simulations of the non-resonant streaming instability occurring in the precursor of relativistic shocks. In the shock front restframe, we perform a linear analysis…

High Energy Astrophysical Phenomena · Physics 2015-06-15 F. Casse , A. Marcowith , R. Keppens

We consider the problem of shock reflection on a solid wall in plane symmetry for a barotropic fluid. We establish a local in time solution after the point of reflection, thereby determining the state behind the reflected shock. The…

Analysis of PDEs · Mathematics 2022-01-03 André Lisibach

When a plane shock hits a two-dimensional wedge head on, it experiences a reflection-diffraction process, and then a self-similar reflected shock moves outward as the original shock moves forward in time. The experimental, computational,…

Analysis of PDEs · Mathematics 2019-10-08 Gui-Qiang G. Chen , Mikhail Feldman , Wei Xiang

We investigate relativistic flows after a shock wave generated in a star arrives at the surface. First, the sphericity effect is involved through a successive approximation procedure by adding correction terms to an already known…

Astrophysics · Physics 2008-11-26 Reina Kikuchi , Toshikazu Shigeyama

The present numerical investigation uses well-resolved large-eddy simulations to study the low-frequency unsteady motions observed in shock-wave/turbulent-boundary-layer interactions. Details about the numerical aspects of the simulations…

Fluid Dynamics · Physics 2010-10-12 Emile Touber , Neil D. Sandham

When a plane shock hits a wedge head on, it experiences a reflection-diffraction process, and then a self-similar reflected shock moves outward as the original shock moves forward in time. The complexity of reflection-diffraction…

Analysis of PDEs · Mathematics 2009-09-30 Gui-Qiang Chen , Mikhail Feldman

The generation of turbulence at magnetized shocks and its subsequent interaction with the latter is a key question of plasma- and high-energy astrophysics. This paper presents two-dimensional magnetohydrodynamic simulations of a fast shock…

High Energy Astrophysical Phenomena · Physics 2018-01-09 Camilia Demidem , Martin Lemoine , Fabien Casse

Shock waves are steep wave fronts that are fundamental in nature, especially in high-speed fluid flows. When a shock hits an obstacle, or a flying body meets a shock, shock reflection/diffraction phenomena occur. In this paper, we show how…

Analysis of PDEs · Mathematics 2016-02-17 Gui-Qiang G. Chen , Mikhail Feldman

We review the present status of the cosmic ray acceleration theory in mildly relativistic shock waves. Due to the involved substantial particle anisotropies analytical methods can tackle only simple situations involving weakly turbulent…

Astrophysics · Physics 2007-05-23 M. Ostrowski

The work addresses 2D and 3D turbulent transonic flows past a wall with an expansion corner. A curved shock wave is formed upstream of a cylinder located above the corner. Numerical solutions of the Reynolds-averaged Navier-Stokes equations…

Fluid Dynamics · Physics 2015-03-31 Alexander Kuzmin

Shock wave refraction at a sharp density interface is a classical problem in hydrodynamics. Presently, we investigate the strongly planar refraction of a magnetohydrodynamic (MHD) shock wave at an inclined density interface. A magnetic…

Fluid Dynamics · Physics 2022-03-14 Fang Chen , Vincent Wheatley , Ravi Samtaney

We perform 1D/2D/3D relativistic hydrodynamical simulations of accretion flows with low angular momentum, filling the gap between spherically symmetric Bondi accretion and disc-like accretion flows. Scenarios with different directional…

High Energy Astrophysical Phenomena · Physics 2017-09-07 Petra Suková , Szymon Charzyński , Agnieszka Janiuk

Particle acceleration in relativistic shocks is studied analytically in the test-particle, small-angle scattering limit, for an arbitrary velocity-angle diffusion function D. Accurate analytic expressions for the spectral index s are…

Astrophysics · Physics 2008-11-26 Uri Keshet

The dynamics of a shock wave impinging on a transitional high-enthalpy boundary layer out of thermochemical equilibrium is investigated for the first time by means of a direct numerical simulation. The freestream Mach number is equal to 9…

Fluid Dynamics · Physics 2022-12-15 Donatella Passiatore , Luca Sciacovelli , Paola Cinnella , Giuseppe Pascazio

Numerical Monte Carlo simulations of the diffusive shock acceleration in the test particle limit are investigated. We simulate high relativistic flow astrophysical plasmas for upstream $\gamma$ $\sim5$ and up to $\gamma$ $\sim1000$. These…

Astrophysics · Physics 2007-05-23 Athina Meli , John Quenby

First-order Fermi acceleration process at a relativistic shock wave is investigated by means of Monte Carlo simulations involving numerical integration of particle equations of motion in a turbulent magnetic field near the shock. In…

Astrophysics · Physics 2007-05-23 Jacek Niemiec , Michal Ostrowski

In this thesis different numerical methods, as well as applications of the methods to a number of current problems in relativistic astrophysics, are presented. In the first part the theoretical foundation and numerical implementation of a…

Astrophysics · Physics 2009-09-29 Troels Haugboelle

In the context of the interaction between a moving plane shock wave and an inclined wall (wedge), it is possible to distinguish four distinct shock reflection configurations. These shock wave reflections, which depend on the characteristics…

Fluid Dynamics · Physics 2023-09-13 Sebastian Valencia , Cesar Celis , Andres Mendiburu , Luis Bravo , Prashant Khare
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